On the two-loop amplitude for $gg\to ZZ$ production with full top-mass dependence

Abstract

In this talk, we discuss top-quark contributions to $ZZ$ production through gluon fusion at two loops. We use syzygies and modular arithmetic to compute the reductions to master integrals. In order to numerically evaluate the amplitude, we express it in terms of finite integrals using a new method to construct integrable linear combinations of divergent integrands.

11 pages, 5 figures, 1 table, talk given at RADCOR2019

References in corpus (8)

• FIRE5: a C++ implementation of Feynman Integral REduction
• ZZ production at hadron colliders in NNLO QCD
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Feynman Diagrams and Differential Equations
• Sector Decomposition
• SecDec: A general program for sector decomposition
• Production of two Z-bosons in gluon fusion in the heavy top quark approximation